Respuesta :

metchelle
From my research, the question is actually looking for the radical equivalent of 27^(2/3). Let us solve this below:

27^(2/3) = [cube root (27)]^2 = 3^2 = 9

Therefore, the final answer to the expression is 9.

Answer: The radical equivalent of [tex]27^{\frac{2}{3}}\\[/tex] is 9.

Step-by-step explanation:

Since we have given that

[tex]27^{\frac{2}{3}}\\[/tex]

We need to find the radical equivalent.

so, we will use the "Exponential law":

[tex](a^m)^{\frac{1}{n}}=a^{\frac{m}{n}}[/tex]

so, it becomes,

[tex]27^\frac{2}{3}\\\\=(3^3)^\frac{2}{3}\\\\=(3^\frac{3}{3})^2\\\\=3^2\\\\=9[/tex]

Hence, The radical equivalent of [tex]27^{\frac{2}{3}}\\[/tex] is 9.

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